**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**2711

# Search results for: nonlinear equation

##### 2711 Soliton Solutions of the Higher-Order Nonlinear Schrödinger Equation with Dispersion Effects

**Authors:**
H. Triki,
Y. Hamaizi,
A. El-Akrmi

**Abstract:**

**Keywords:**
nonlinear Schrödinger equation,
high-order effects,
soliton solution

##### 2710 Exact Solutions of a Nonlinear Schrodinger Equation with Kerr Law Nonlinearity

**Authors:**
Muna Alghabshi,
Edmana Krishnan

**Abstract:**

**Keywords:**
Jacobi elliptic function,
mapping methods,
nonlinear Schrodinger Equation,
tanh method

##### 2709 Stress Solitary Waves Generated by a Second-Order Polynomial Constitutive Equation

**Authors:**
Tsun-Hui Huang,
Shyue-Cheng Yang,
Chiou-Fen Shieha

**Abstract:**

**Keywords:**
polynomial constitutive equation,
solitary,
stress solitary waves,
nonlinear constitutive law

##### 2708 Exactly Fractional Solutions of Nonlinear Lattice Equation via Some Fractional Transformations

**Authors:**
A. Zerarka,
W. Djoudi

**Abstract:**

**Keywords:**
fractional transformations,
nonlinear equation,
travelling wave solutions,
lattice equation

##### 2707 A Novel Method for Solving Nonlinear Whitham–Broer–Kaup Equation System

**Authors:**
Ayda Nikkar,
Roghayye Ahmadiasl

**Abstract:**

**Keywords:**
homotopy perturbation method,
Whitham–Broer–Kaup (WBK) equation,
Modified Boussinesq,
Approximate Long Wave

##### 2706 Approximate Solution to Non-Linear Schrödinger Equation with Harmonic Oscillator by Elzaki Decomposition Method

**Authors:**
Emad K. Jaradat,
Ala’a Al-Faqih

**Abstract:**

**Keywords:**
non-linear Schrodinger equation,
Elzaki decomposition method,
harmonic oscillator,
one and two-dimensional Schrodinger equation

##### 2705 The Construction of Exact Solutions for the Nonlinear Lattice Equation via Coth and Csch Functions Method

**Authors:**
A. Zerarka,
W. Djoudi

**Abstract:**

**Keywords:**
coth functions,
csch functions,
nonlinear partial differential equation,
travelling wave solutions

##### 2704 Study and Solving Partial Differential Equation of Danel Equation in the Vibration Shells

**Authors:**
Hesamoddin Abdollahpour,
Roghayeh Abdollahpour,
Elham Rahgozar

**Abstract:**

**Keywords:**
large amplitude,
free vibrations,
analytical solution,
Danell Equation,
diagram of phase plane

##### 2703 The Soliton Solution of the Quadratic-Cubic Nonlinear Schrodinger Equation

**Authors:**
Sarun Phibanchon,
Yuttakarn Rattanachai

**Abstract:**

**Keywords:**
soliton,
ion-acoustic waves,
plasma,
spectral method

##### 2702 The Application of Variable Coefficient Jacobian elliptic Function Method to Differential-Difference Equations

**Authors:**
Chao-Qing Dai

**Abstract:**

**Keywords:**
discrete sine-Gordon equation,
variable coefficient Jacobian elliptic function method,
exact solutions,
equation

##### 2701 Analytical Solving of Nonlinear Differential Equations in the Nonlinear Phenomena for Viscos Fluids

**Authors:**
Arash Jafari,
Mehdi Taghaddosi,
Azin Parvin

**Abstract:**

**Keywords:**
viscos fluid,
incompressible fluid flow,
inclined plane,
nonlinear phenomena

##### 2700 Existence Theory for First Order Functional Random Differential Equations

**Authors:**
Rajkumar N. Ingle

**Abstract:**

**Keywords:**
Random Fixed Point Theorem,
functional random differential equation,
N.F.R.D.E.,
universal random phenomenon

##### 2699 Propagation of W Shaped of Solitons in Fiber Bragg Gratings

**Authors:**
Mezghiche Kamel

**Abstract:**

**Keywords:**
ﬁber bragg grating,
nonlinear-coupled mode equations,
w shaped of solitons,
PNLS

##### 2698 Chaotic Motion of Single-Walled Carbon Nanotube Subject to Damping Effect

**Authors:**
Tai-Ping Chang

**Abstract:**

**Keywords:**
chaotic motion,
damping,
Lyapunov exponents,
single-walled carbon nanotube

##### 2697 Exact Soliton Solutions of the Integrable (2+1)-Dimensional Fokas-Lenells Equation

**Authors:**
Meruyert Zhassybayeva,
Kuralay Yesmukhanova,
Ratbay Myrzakulov

**Abstract:**

**Keywords:**
Fokas-Lenells equation,
integrability,
soliton,
the Hirota bilinear method

##### 2696 Multiple Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation

**Authors:**
A. Guezane-Lakoud,
S. Bensebaa

**Abstract:**

**Keywords:**
positive solution,
fractional caputo derivative,
Banach contraction principle,
Avery and Peterson fixed point theorem

##### 2695 A New Nonlinear State-Space Model and Its Application

**Authors:**
Abdullah Eqal Al Mazrooei

**Abstract:**

**Keywords:**
nonlinear systems,
state-space model,
Kronecker product,
nonlinear estimator

##### 2694 Scrutiny and Solving Analytically Nonlinear Differential at Engineering Field of Fluids, Heat, Mass and Wave by New Method AGM

**Authors:**
Mohammadreza Akbari,
Sara Akbari,
Davood Domiri Ganji,
Pooya Solimani,
Reza Khalili

**Abstract:**

**Keywords:**
new method AGM,
sets of coupled nonlinear equations at engineering field,
waves equations,
integro-differential,
fluid and thermal

##### 2693 Equations of Pulse Propagation in Three-Layer Structure of As2S3 Chalcogenide Plasmonic Nano-Waveguides

**Authors:**
Leila Motamed-Jahromi,
Mohsen Hatami,
Alireza Keshavarz

**Abstract:**

_{2}S

_{3}chalcogenide materials. Via utilizing Helmholtz equation and first-order perturbation theory, two components of electric field are determined within frequency domain. Afterwards, the equations are formulated in time domain. The obtained equations include two coupled differential equations that considers nonlinear dispersion.

**Keywords:**
nonlinear optics,
plasmonic waveguide,
chalcogenide,
propagation equation

##### 2692 Study on Optimal Control Strategy of PM2.5 in Wuhan, China

**Authors:**
Qiuling Xie,
Shanliang Zhu,
Zongdi Sun

**Abstract:**

**Keywords:**
grey relational degree,
multiple linear regression,
membership function,
nonlinear programming

##### 2691 A Study of Non Linear Partial Differential Equation with Random Initial Condition

**Authors:**
Ayaz Ahmad

**Abstract:**

**Keywords:**
drift term,
finite time blow up,
inverse problem,
soliton solution

##### 2690 Nonlinear Vibration Analysis of a Functionally Graded Micro-Beam under a Step DC Voltage

**Authors:**
Ali Raheli,
Rahim Habibifar,
Behzad Mohammadi-Alasti,
Mahdi Abbasgholipour

**Abstract:**

**Keywords:**
FGM,
MEMS,
nonlinear vibration,
electrical,
dynamic pull-in voltage

##### 2689 Periodicity of Solutions of a Nonlinear Impulsive Differential Equation with Piecewise Constant Arguments

**Authors:**
Mehtap Lafcı

**Abstract:**

**Keywords:**
Carvalho's method,
impulsive differential equation,
periodic solution,
piecewise constant arguments

##### 2688 A New Computational Method for the Solution of Nonlinear Burgers' Equation Arising in Longitudinal Dispersion Phenomena in Fluid Flow through Porous Media

**Authors:**
Olayiwola Moruf Oyedunsi

**Abstract:**

**Keywords:**
modified variational iteration method,
Burger’s equation,
porous media,
partial differential equation

##### 2687 Nonlinear Flow Behavior and Validity of the Cubic Law in a Rough Fracture

**Authors:**
Kunwar Mrityunjai Sharma,
Trilok Nath Singh

**Abstract:**

**Keywords:**
fracture flow,
nonlinear flow,
cubic law,
Navier-stokes equation

##### 2686 Large Amplitude Vibration of Sandwich Beam

**Authors:**
Youssef Abdelli,
Rachid Nasri

**Abstract:**

**Keywords:**
finite difference method,
large amplitude vibration,
multiple scales,
nonlinear vibration

##### 2685 Exact Solutions for Steady Response of Nonlinear Systems under Non-White Excitation

**Authors:**
Yaping Zhao

**Abstract:**

**Keywords:**
random vibration,
stochastic averaging method,
FPK equation,
transition probability density

##### 2684 An Analytical Method for Solving General Riccati Equation

**Authors:**
Y. Pala,
M. O. Ertas

**Abstract:**

**Keywords:**
Riccati equation,
analytical solution,
proper solution,
nonlinear

##### 2683 A Nonlinear Parabolic Partial Differential Equation Model for Image Enhancement

**Authors:**
Tudor Barbu

**Abstract:**

**Keywords:**
anisotropic diffusion,
finite differences,
image denoising and restoration,
nonlinear PDE model,
anisotropic diffusion,
numerical approximation schemes

##### 2682 Speeding up Nonlinear Time History Analysis of Base-Isolated Structures Using a Nonlinear Exponential Model

**Authors:**
Nicolò Vaiana,
Giorgio Serino

**Abstract:**

**Keywords:**
base isolation,
computational efficiency,
nonlinear exponential model,
nonlinear time history analysis